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Finding the Fourth Proportional to 21,657.28, 29,887 and 12,225.64

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Solution

The fourth proportional to 21,657.28, 29,887 and 12,225.64 is: 16,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.28 : 29,887 = 12,225.64 : x
  2. Step 2: Convert to fraction form
    21,657.28/29,887 = 12,225.64/x
  3. Step 3: Cross multiply
    21,657.28x = 29,887 × 12,225.64
  4. Step 4: Simplify right side
    21,657.28x = 365,387,702.68
  5. Step 5: Solve for x
    x = 365,387,702.68/21,657.28
  6. Step 6: Final answer
    x = 16,871.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.